29 citations · 61 across the 7 of their papers we have counts for
9 papers
Variational and stability properties of coupled NLS equations on the star graph
Liliana Cely, Nataliia Goloshchapova
We consider variational and stability properties of a system of two coupled nonlinear Schrödinger equations on the star graph with the coupling at the vertex of . The fi…
Dynamical and variational properties of the NLS- equation on the star graph
Nataliia Goloshchapova
We study the nonlinear Schrödinger equation with coupling of intensity on the star graph consisting of half-lines. The nonlinearity ha…
Instability of ground states for the NLS equation with potential on the star graph
Alex H. Ardila, Liliana Cely, Nataliia Goloshchapova
We study the nonlinear Schrödinger equation with an arbitrary real potential on a star graph . At the vertex an interaction occurs described by the g…
A nonlinear Klein-Gordon equation on a star graph
Nataliia Goloshchapova
We study local well-posedness and orbital stability/instability of standing waves for a first order system associated with a nonlinear Klein-Gordon equation on a star graph. The pr…
Blow-up and strong instability of standing waves for the NLS- equation on a star graph
Nataliia Goloshchapova, Masahito Ohta
We study strong instability (by blow-up) of the standing waves for the nonlinear Schrödinger equation with -interaction on a star graph . The key ingredient is a novel variat…
On the standing waves of the NLS-log equation with point interaction on a star graph
Nataliia Goloshchapova
We study a nonlinear Schrödinger equation with logarithmic nonlinearity on a star graph . At the vertex an interaction occurs described by a boundary condition of delt…
On the orbital instability of excited states for the NLS equation with the -interaction on a star graph
Jaime Angulo Pava, Nataliia Goloshchapova
We study the nonlinear Schrödinger equation (NLS) on a star graph . At the vertex an interaction occurs described by a boundary condition of delta type with strength $…
Extension theory approach in the stability of the standing waves for the NLS equation with point interactions on a star graph
Jaime Angulo Pava, Nataliia Goloshchapova
The aim of this work is to demonstrate the effectiveness of the extension theory of symmetric operators in the investigation of the stability of standing waves for the nonlinear Sc…
Stability of standing waves for NLS-log equation with -interaction
Jaime Angulo Pava, Nataliia Goloshchapova
We study analytically the orbital stability of the standing waves with a peak-Gausson profile for a nonlinear logarithmic Schrödinger equation with -interaction (attractive and…